0.15/0.14	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.15/0.15	% Command    : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.LO4GCiCl0p true
0.16/0.37	% Computer   : n012.cluster.edu
0.16/0.37	% Model      : x86_64 x86_64
0.16/0.37	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.16/0.37	% Memory     : 8042.1875MB
0.16/0.37	% OS         : Linux 3.10.0-693.el7.x86_64
0.16/0.37	% CPULimit   : 1200
0.16/0.37	% WCLimit    : 120
0.16/0.37	% DateTime   : Tue Jul 13 15:39:01 EDT 2021
0.16/0.37	% CPUTime    : 
0.16/0.37	% Running portfolio for 120 s
0.16/0.37	% File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
0.16/0.37	% Number of cores: 8
0.16/0.37	% Python version: Python 3.6.8
0.16/0.37	% Running in HO mode
0.59/0.69	% Total configuration time : 828
0.59/0.69	% Estimated wc time : 983
0.59/0.69	% Estimated cpu time (8 cpus) : 122.875
0.59/0.73	% /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 47s
0.59/0.75	% /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 47s
0.59/0.75	% /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 47s
0.59/0.77	% /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 18s
0.59/0.77	% /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 53s
0.60/0.78	% /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 41s
0.60/0.81	% /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 35s
0.60/0.81	% /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 24s
0.61/0.91	% Solved by lams/20_acsne_simpl.sh.
0.61/0.91	% done 12 iterations in 0.042s
0.61/0.91	% SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
0.61/0.91	% SZS output start Refutation
0.61/0.91	thf('#sk7_type', type, '#sk7': $o).
0.61/0.91	thf('#_fresh_sk10_type', type, '#_fresh_sk10': $i).
0.61/0.91	thf('#_fresh_sk25_type', type, '#_fresh_sk25': ($i > $i) > $i).
0.61/0.91	thf('#_fresh_sk11_type', type, '#_fresh_sk11': $i).
0.61/0.91	thf(if_type, type, if: $o > ($i > $i) > ($i > $i) > $i > $i).
0.61/0.91	thf('#sk8_type', type, '#sk8': $i > $i).
0.61/0.91	thf(epsii_type, type, epsii: (($i > $i) > $o) > $i > $i).
0.61/0.91	thf('#_fresh_sk17_type', type, '#_fresh_sk17': ($i > $i) > $i).
0.61/0.91	thf('#sk9_type', type, '#sk9': $i > $i).
0.61/0.91	thf(choiceaxii, axiom,
0.61/0.91	  (![P:( ( $i > $i ) > $o )]:
0.61/0.91	   ( ( ?[X:( $i > $i )]: ( P @ X ) ) => ( P @ ( epsii @ P ) ) ))).
0.61/0.91	thf(zip_derived_cl0, plain,
0.61/0.91	    ( (((!!) @ (^[Y0 : ($i > $i) > $o]:
0.61/0.91	                  (((((??) @ (^[Y1 : $i > $i]: (Y0 @ Y1)))) => (Y0 @ 
0.61/0.91	                    (epsii @ Y0)))))))),
0.61/0.91	    inference('cnf', [status(esa)], [choiceaxii])).
0.61/0.91	thf(zip_derived_cl2, plain,
0.61/0.91	    (![X2 : ($i > $i) > $o]:
0.61/0.91	        (((((??) @ (^[Y0 : $i > $i]: (X2 @ Y0)))) => (X2 @ (epsii @ X2))))),
0.61/0.91	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl0])).
0.61/0.91	thf(zip_derived_cl14, plain,
0.61/0.91	    ( (((((??) @ (^[Y0 : $i > $i]:
0.61/0.91	                    (((((((Y0) = ('#sk9'))) & (((~) @ '#sk7')))) |
0.61/0.91	                      (((((Y0) = ('#sk8'))) & ('#sk7')))))))) =>
0.61/0.91	        (((((((epsii @ 
0.61/0.91	              (^[Y0 : $i > $i]:
0.61/0.91	                 (((((((Y0) = ('#sk9'))) & (((~) @ '#sk7')))) |
0.61/0.91	                   (((((Y0) = ('#sk8'))) & ('#sk7'))))))) =
0.61/0.91	              ('#sk9'))) &
0.61/0.91	            (((~) @ '#sk7')))) |
0.61/0.91	          (((((epsii @ 
0.61/0.91	              (^[Y0 : $i > $i]:
0.61/0.91	                 (((((((Y0) = ('#sk9'))) & (((~) @ '#sk7')))) |
0.61/0.91	                   (((((Y0) = ('#sk8'))) & ('#sk7'))))))) =
0.61/0.91	              ('#sk8'))) &
0.61/0.91	            ('#sk7')))))))),
0.61/0.91	    inference('triggered_bool_instantiation', [status(thm)],
0.61/0.91	              [zip_derived_cl2])).
0.61/0.91	thf(zip_derived_cl15, plain,
0.61/0.91	    ((~ (((??) @ (^[Y0 : $i > $i]:
0.61/0.91	                    (((((((Y0) = ('#sk9'))) & (((~) @ '#sk7')))) |
0.61/0.91	                      (((((Y0) = ('#sk8'))) & ('#sk7'))))))))
0.61/0.91	      |  (((((((epsii @ 
0.61/0.91	               (^[Y0 : $i > $i]:
0.61/0.91	                  (((((((Y0) = ('#sk9'))) & (((~) @ '#sk7')))) |
0.61/0.91	                    (((((Y0) = ('#sk8'))) & ('#sk7'))))))) =
0.61/0.91	               ('#sk9'))) &
0.61/0.91	             (((~) @ '#sk7')))) |
0.61/0.91	           (((((epsii @ 
0.61/0.91	               (^[Y0 : $i > $i]:
0.61/0.91	                  (((((((Y0) = ('#sk9'))) & (((~) @ '#sk7')))) |
0.61/0.91	                    (((((Y0) = ('#sk8'))) & ('#sk7'))))))) =
0.61/0.91	               ('#sk8'))) &
0.61/0.91	             ('#sk7'))))))),
0.61/0.91	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl14])).
0.61/0.91	thf(zip_derived_cl16, plain,
0.61/0.91	    (![X2 : $i > $i]:
0.61/0.91	       (~ (((((((X2) = ('#sk9'))) & (((~) @ '#sk7')))) |
0.61/0.91	            (((((X2) = ('#sk8'))) & ('#sk7')))))
0.61/0.91	        |  (((((((epsii @ 
0.61/0.91	                 (^[Y0 : $i > $i]:
0.61/0.91	                    (((((((Y0) = ('#sk9'))) & (((~) @ '#sk7')))) |
0.61/0.91	                      (((((Y0) = ('#sk8'))) & ('#sk7'))))))) =
0.61/0.91	                 ('#sk9'))) &
0.61/0.91	               (((~) @ '#sk7')))) |
0.61/0.91	             (((((epsii @ 
0.61/0.91	                 (^[Y0 : $i > $i]:
0.61/0.91	                    (((((((Y0) = ('#sk9'))) & (((~) @ '#sk7')))) |
0.61/0.91	                      (((((Y0) = ('#sk8'))) & ('#sk7'))))))) =
0.61/0.91	                 ('#sk8'))) &
0.61/0.91	               ('#sk7'))))))),
0.61/0.91	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl15])).
0.61/0.91	thf(zip_derived_cl18, plain,
0.61/0.91	    (![X2 : $i > $i]:
0.61/0.91	       (~ (((((X2) = ('#sk8'))) & ('#sk7')))
0.61/0.91	        |  (((((((epsii @ 
0.61/0.91	                 (^[Y0 : $i > $i]:
0.61/0.91	                    (((((((Y0) = ('#sk9'))) & (((~) @ '#sk7')))) |
0.61/0.91	                      (((((Y0) = ('#sk8'))) & ('#sk7'))))))) =
0.61/0.91	                 ('#sk9'))) &
0.61/0.91	               (((~) @ '#sk7')))) |
0.61/0.91	             (((((epsii @ 
0.61/0.91	                 (^[Y0 : $i > $i]:
0.61/0.91	                    (((((((Y0) = ('#sk9'))) & (((~) @ '#sk7')))) |
0.61/0.91	                      (((((Y0) = ('#sk8'))) & ('#sk7'))))))) =
0.61/0.91	                 ('#sk8'))) &
0.61/0.91	               ('#sk7'))))))),
0.61/0.91	    inference('lazy_cnf_or', [status(thm)], [zip_derived_cl16])).
0.61/0.91	thf(zip_derived_cl20, plain,
0.61/0.91	    (![X2 : $i > $i]:
0.61/0.91	       (~ (((X2) = ('#sk8')))
0.61/0.91	        | ~ ('#sk7')
0.61/0.91	        |  (((((((epsii @ 
0.61/0.91	                 (^[Y0 : $i > $i]:
0.61/0.91	                    (((((((Y0) = ('#sk9'))) & (((~) @ '#sk7')))) |
0.61/0.91	                      (((((Y0) = ('#sk8'))) & ('#sk7'))))))) =
0.61/0.91	                 ('#sk9'))) &
0.61/0.91	               (((~) @ '#sk7')))) |
0.61/0.91	             (((((epsii @ 
0.61/0.91	                 (^[Y0 : $i > $i]:
0.61/0.91	                    (((((((Y0) = ('#sk9'))) & (((~) @ '#sk7')))) |
0.61/0.91	                      (((((Y0) = ('#sk8'))) & ('#sk7'))))))) =
0.61/0.91	                 ('#sk8'))) &
0.61/0.91	               ('#sk7'))))))),
0.61/0.91	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl18])).
0.61/0.91	thf(zip_derived_cl27, plain,
0.61/0.91	    (![X2 : $i > $i]:
0.61/0.91	       (~ (((X2) = ('#sk8')))
0.61/0.91	        | ~ ('#sk7')
0.61/0.91	        |  (((((((epsii @ 
0.61/0.91	                 (^[Y0 : $i > $i]:
0.61/0.91	                    (((((((Y0) = ('#sk9'))) & (((~) @ '#sk7')))) |
0.61/0.91	                      (((((Y0) = ('#sk8'))) & ('#sk7'))))))) =
0.61/0.91	                 ('#sk9'))) &
0.61/0.91	               (((~) @ ($true))))) |
0.61/0.91	             (((((epsii @ 
0.61/0.91	                 (^[Y0 : $i > $i]:
0.61/0.91	                    (((((((Y0) = ('#sk9'))) & (((~) @ '#sk7')))) |
0.61/0.91	                      (((((Y0) = ('#sk8'))) & ('#sk7'))))))) =
0.61/0.91	                 ('#sk8'))) &
0.61/0.91	               ($true))))))),
0.61/0.91	    inference('local_rewriting', [status(thm)], [zip_derived_cl20])).
0.61/0.91	thf(zip_derived_cl28, plain,
0.61/0.91	    (![X2 : $i > $i]:
0.61/0.91	       (((X2) != ('#sk8'))
0.61/0.91	        | ~ ('#sk7')
0.61/0.91	        |  (((((((epsii @ 
0.61/0.91	                 (^[Y0 : $i > $i]:
0.61/0.91	                    (((((((Y0) = ('#sk9'))) & (((~) @ '#sk7')))) |
0.61/0.91	                      (((((Y0) = ('#sk8'))) & ('#sk7'))))))) =
0.61/0.91	                 ('#sk9'))) &
0.61/0.91	               (((~) @ ($true))))) |
0.61/0.91	             (((((epsii @ 
0.61/0.91	                 (^[Y0 : $i > $i]:
0.61/0.91	                    (((((((Y0) = ('#sk9'))) & (((~) @ '#sk7')))) |
0.61/0.91	                      (((((Y0) = ('#sk8'))) & ('#sk7'))))))) =
0.61/0.91	                 ('#sk8'))) &
0.61/0.91	               ($true))))))),
0.61/0.91	    inference('simplify nested equalities', [status(thm)], [zip_derived_cl27])).
0.61/0.91	thf(zip_derived_cl29, plain,
0.61/0.91	    (![X2 : $i > $i]:
0.61/0.91	       (((X2) != ('#sk8'))
0.61/0.91	        | ~ ('#sk7')
0.61/0.91	        |  (((epsii @ 
0.61/0.91	             (^[Y0 : $i > $i]:
0.61/0.91	                (((((((Y0) = ('#sk9'))) & (((~) @ '#sk7')))) |
0.61/0.91	                  (((((Y0) = ('#sk8'))) & ('#sk7'))))))) =
0.61/0.91	             ('#sk8'))))),
0.61/0.91	    inference('simplify boolean subterms', [status(thm)], [zip_derived_cl28])).
0.61/0.91	thf(zip_derived_cl30, plain,
0.61/0.91	    (![X2 : $i > $i]:
0.61/0.91	       (((X2) != ('#sk8'))
0.61/0.91	        | ~ ('#sk7')
0.61/0.91	        | ((epsii @ 
0.61/0.91	            (^[Y0 : $i > $i]:
0.61/0.91	               (((((((Y0) = ('#sk9'))) & (((~) @ '#sk7')))) |
0.61/0.91	                 (((((Y0) = ('#sk8'))) & ('#sk7')))))))
0.61/0.91	            = ('#sk8')))),
0.61/0.91	    inference('simplify nested equalities', [status(thm)], [zip_derived_cl29])).
0.61/0.91	thf(zip_derived_cl31, plain,
0.61/0.91	    (![X2 : $i > $i]:
0.61/0.91	       (((X2 @ ('#_fresh_sk25' @ X2)) != ('#sk8' @ ('#_fresh_sk25' @ X2)))
0.61/0.91	        | ~ ('#sk7')
0.61/0.91	        | ((epsii @ 
0.61/0.91	            (^[Y0 : $i > $i]:
0.61/0.91	               (((((((Y0) = ('#sk9'))) & (((~) @ '#sk7')))) |
0.61/0.91	                 (((((Y0) = ('#sk8'))) & ('#sk7')))))))
0.61/0.91	            = ('#sk8')))),
0.61/0.91	    inference('neg_ext_simpl', [status(thm)], [zip_derived_cl30])).
0.61/0.91	thf(zip_derived_cl32, plain,
0.61/0.91	    (![X2 : $i > $i, X4 : $i]:
0.61/0.91	       (((X2 @ ('#_fresh_sk25' @ X2)) != ('#sk8' @ ('#_fresh_sk25' @ X2)))
0.61/0.91	        | ~ ('#sk7')
0.61/0.91	        | ((epsii @ 
0.61/0.91	            (^[Y0 : $i > $i]:
0.61/0.91	               (((((((Y0) = ('#sk9'))) & (((~) @ '#sk7')))) |
0.61/0.91	                 (((((Y0) = ('#sk8'))) & ('#sk7')))))) @ 
0.61/0.91	            X4) = ('#sk8' @ X4)))),
0.61/0.91	    inference('arg_cong_simpl', [status(thm)], [zip_derived_cl31])).
0.61/0.91	thf(zip_derived_cl17, plain,
0.61/0.91	    (![X2 : $i > $i]:
0.61/0.91	       (~ (((((X2) = ('#sk9'))) & (((~) @ '#sk7'))))
0.61/0.91	        |  (((((((epsii @ 
0.61/0.91	                 (^[Y0 : $i > $i]:
0.61/0.91	                    (((((((Y0) = ('#sk9'))) & (((~) @ '#sk7')))) |
0.61/0.91	                      (((((Y0) = ('#sk8'))) & ('#sk7'))))))) =
0.61/0.91	                 ('#sk9'))) &
0.61/0.91	               (((~) @ '#sk7')))) |
0.61/0.91	             (((((epsii @ 
0.61/0.91	                 (^[Y0 : $i > $i]:
0.61/0.91	                    (((((((Y0) = ('#sk9'))) & (((~) @ '#sk7')))) |
0.61/0.91	                      (((((Y0) = ('#sk8'))) & ('#sk7'))))))) =
0.61/0.91	                 ('#sk8'))) &
0.61/0.91	               ('#sk7'))))))),
0.61/0.91	    inference('lazy_cnf_or', [status(thm)], [zip_derived_cl16])).
0.61/0.91	thf(zip_derived_cl19, plain,
0.61/0.91	    (![X2 : $i > $i]:
0.61/0.91	       (~ (((X2) = ('#sk9')))
0.61/0.91	        |  ('#sk7')
0.61/0.91	        |  (((((((epsii @ 
0.61/0.91	                 (^[Y0 : $i > $i]:
0.61/0.91	                    (((((((Y0) = ('#sk9'))) & (((~) @ '#sk7')))) |
0.61/0.91	                      (((((Y0) = ('#sk8'))) & ('#sk7'))))))) =
0.61/0.91	                 ('#sk9'))) &
0.61/0.91	               (((~) @ '#sk7')))) |
0.61/0.91	             (((((epsii @ 
0.61/0.91	                 (^[Y0 : $i > $i]:
0.61/0.91	                    (((((((Y0) = ('#sk9'))) & (((~) @ '#sk7')))) |
0.61/0.91	                      (((((Y0) = ('#sk8'))) & ('#sk7'))))))) =
0.61/0.91	                 ('#sk8'))) &
0.61/0.91	               ('#sk7'))))))),
0.61/0.91	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl17])).
0.61/0.91	thf(zip_derived_cl21, plain,
0.61/0.91	    (![X2 : $i > $i]:
0.61/0.91	       (~ (((X2) = ('#sk9')))
0.61/0.91	        |  ('#sk7')
0.61/0.91	        |  (((((((epsii @ 
0.61/0.91	                 (^[Y0 : $i > $i]:
0.61/0.91	                    (((((((Y0) = ('#sk9'))) & (((~) @ '#sk7')))) |
0.61/0.91	                      (((((Y0) = ('#sk8'))) & ('#sk7'))))))) =
0.61/0.91	                 ('#sk9'))) &
0.61/0.91	               (((~) @ ($false))))) |
0.61/0.91	             (((((epsii @ 
0.61/0.91	                 (^[Y0 : $i > $i]:
0.61/0.91	                    (((((((Y0) = ('#sk9'))) & (((~) @ '#sk7')))) |
0.61/0.91	                      (((((Y0) = ('#sk8'))) & ('#sk7'))))))) =
0.61/0.91	                 ('#sk8'))) &
0.61/0.91	               ($false))))))),
0.61/0.91	    inference('local_rewriting', [status(thm)], [zip_derived_cl19])).
0.61/0.91	thf(zip_derived_cl22, plain,
0.61/0.91	    (![X2 : $i > $i]:
0.61/0.91	       (((X2) != ('#sk9'))
0.61/0.91	        |  ('#sk7')
0.61/0.91	        |  (((((((epsii @ 
0.61/0.91	                 (^[Y0 : $i > $i]:
0.61/0.91	                    (((((((Y0) = ('#sk9'))) & (((~) @ '#sk7')))) |
0.61/0.91	                      (((((Y0) = ('#sk8'))) & ('#sk7'))))))) =
0.61/0.91	                 ('#sk9'))) &
0.61/0.91	               (((~) @ ($false))))) |
0.61/0.91	             (((((epsii @ 
0.61/0.91	                 (^[Y0 : $i > $i]:
0.61/0.91	                    (((((((Y0) = ('#sk9'))) & (((~) @ '#sk7')))) |
0.61/0.91	                      (((((Y0) = ('#sk8'))) & ('#sk7'))))))) =
0.61/0.91	                 ('#sk8'))) &
0.61/0.91	               ($false))))))),
0.61/0.91	    inference('simplify nested equalities', [status(thm)], [zip_derived_cl21])).
0.61/0.91	thf(zip_derived_cl23, plain,
0.61/0.91	    (![X2 : $i > $i]:
0.61/0.91	       (((X2) != ('#sk9'))
0.61/0.91	        |  ('#sk7')
0.61/0.91	        |  (((epsii @ 
0.61/0.91	             (^[Y0 : $i > $i]:
0.61/0.91	                (((((((Y0) = ('#sk9'))) & (((~) @ '#sk7')))) |
0.61/0.91	                  (((((Y0) = ('#sk8'))) & ('#sk7'))))))) =
0.61/0.91	             ('#sk9'))))),
0.61/0.91	    inference('simplify boolean subterms', [status(thm)], [zip_derived_cl22])).
0.61/0.91	thf(zip_derived_cl24, plain,
0.61/0.91	    (![X2 : $i > $i]:
0.61/0.91	       (((X2) != ('#sk9'))
0.61/0.91	        |  ('#sk7')
0.61/0.91	        | ((epsii @ 
0.61/0.91	            (^[Y0 : $i > $i]:
0.61/0.91	               (((((((Y0) = ('#sk9'))) & (((~) @ '#sk7')))) |
0.61/0.91	                 (((((Y0) = ('#sk8'))) & ('#sk7')))))))
0.61/0.91	            = ('#sk9')))),
0.61/0.91	    inference('simplify nested equalities', [status(thm)], [zip_derived_cl23])).
0.61/0.91	thf(zip_derived_cl25, plain,
0.61/0.91	    (![X2 : $i > $i]:
0.61/0.91	       (((X2 @ ('#_fresh_sk17' @ X2)) != ('#sk9' @ ('#_fresh_sk17' @ X2)))
0.61/0.91	        |  ('#sk7')
0.61/0.91	        | ((epsii @ 
0.61/0.91	            (^[Y0 : $i > $i]:
0.61/0.91	               (((((((Y0) = ('#sk9'))) & (((~) @ '#sk7')))) |
0.61/0.91	                 (((((Y0) = ('#sk8'))) & ('#sk7')))))))
0.61/0.91	            = ('#sk9')))),
0.61/0.91	    inference('neg_ext_simpl', [status(thm)], [zip_derived_cl24])).
0.61/0.91	thf(zip_derived_cl26, plain,
0.61/0.91	    (![X2 : $i > $i, X4 : $i]:
0.61/0.91	       (((X2 @ ('#_fresh_sk17' @ X2)) != ('#sk9' @ ('#_fresh_sk17' @ X2)))
0.61/0.91	        |  ('#sk7')
0.61/0.91	        | ((epsii @ 
0.61/0.91	            (^[Y0 : $i > $i]:
0.61/0.91	               (((((((Y0) = ('#sk9'))) & (((~) @ '#sk7')))) |
0.61/0.91	                 (((((Y0) = ('#sk8'))) & ('#sk7')))))) @ 
0.61/0.91	            X4) = ('#sk9' @ X4)))),
0.61/0.91	    inference('arg_cong_simpl', [status(thm)], [zip_derived_cl25])).
0.61/0.91	thf(zip_derived_cl44, plain,
0.61/0.91	    (![X0 : $i]:
0.61/0.91	       (((epsii @ 
0.61/0.91	          (^[Y0 : $i > $i]:
0.61/0.91	             (((((((Y0) = ('#sk9'))) & (((~) @ '#sk7')))) |
0.61/0.91	               (((((Y0) = ('#sk8'))) & ('#sk7')))))) @ 
0.61/0.91	          X0) = ('#sk9' @ X0))
0.61/0.91	        |  ('#sk7'))),
0.61/0.91	    inference('eq_res', [status(thm)], [zip_derived_cl26])).
0.61/0.91	thf(ifd, axiom,(( if  ) =
0.61/0.91	  (^[B:$o,X:( $i > $i ),Y:( $i > $i )]:
0.61/0.91	   ( epsii @
0.61/0.91	     ( ^[Z:( $i > $i )]:
0.61/0.91	       ( ( ( B ) & ( ( Z ) = ( X ) ) ) | ( ( ~( B ) ) & ( ( Z ) = ( Y ) ) ) ) ) )))).
0.61/0.91	thf('0', plain,
0.61/0.91	    (( if ) =
0.61/0.91	     ( ^[B:$o,X:( $i > $i ),Y:( $i > $i )]:
0.61/0.91	       ( epsii @
0.61/0.91	         ( ^[Z:( $i > $i )]:
0.61/0.91	           ( ( ( B ) & ( ( Z ) = ( X ) ) ) | 
0.61/0.91	             ( ( ~( B ) ) & ( ( Z ) = ( Y ) ) ) ) ) ) )),
0.61/0.91	    inference('simplify_rw_rule', [status(thm)], [ifd])).
0.61/0.91	thf('1', plain,
0.61/0.91	    (( if ) =
0.61/0.91	     ( ^[V_1:$o,V_2:( $i > $i ),V_3:( $i > $i )]:
0.61/0.91	       ( epsii @
0.61/0.91	         ( ^[V_4:( $i > $i )]:
0.61/0.91	           ( ( ( V_1 ) & ( ( V_4 ) = ( V_2 ) ) ) | 
0.61/0.91	             ( ( ~( V_1 ) ) & ( ( V_4 ) = ( V_3 ) ) ) ) ) ) )),
0.61/0.91	    define([status(thm)])).
0.61/0.91	thf(conj, conjecture,
0.61/0.91	  (![B:$o,X:( $i > $i ),Y:( $i > $i )]:
0.61/0.91	   ( ( ( if @ B @ X @ Y ) = ( X ) ) | ( ( if @ B @ X @ Y ) = ( Y ) ) ))).
0.61/0.91	thf(zf_stmt_0, conjecture,
0.61/0.91	  (![X4:$o,X6:( $i > $i ),X8:( $i > $i )]:
0.61/0.91	   ( ( ( epsii @
0.61/0.91	         ( ^[V_2:( $i > $i )]:
0.61/0.91	           ( ( ( ( V_2 ) = ( X8 ) ) & ( ~( X4 ) ) ) | 
0.61/0.91	             ( ( ( V_2 ) = ( X6 ) ) & ( X4 ) ) ) ) ) =
0.61/0.91	       ( X8 ) ) | 
0.61/0.91	     ( ( epsii @
0.61/0.91	         ( ^[V_1:( $i > $i )]:
0.61/0.91	           ( ( ( ( V_1 ) = ( X8 ) ) & ( ~( X4 ) ) ) | 
0.61/0.91	             ( ( ( V_1 ) = ( X6 ) ) & ( X4 ) ) ) ) ) =
0.61/0.91	       ( X6 ) ) ))).
0.61/0.91	thf(zf_stmt_1, negated_conjecture,
0.61/0.91	  (~( ![X4:$o,X6:( $i > $i ),X8:( $i > $i )]:
0.61/0.91	      ( ( ( epsii @
0.61/0.91	            ( ^[V_2:( $i > $i )]:
0.61/0.91	              ( ( ( ( V_2 ) = ( X8 ) ) & ( ~( X4 ) ) ) | 
0.61/0.91	                ( ( ( V_2 ) = ( X6 ) ) & ( X4 ) ) ) ) ) =
0.61/0.91	          ( X8 ) ) | 
0.61/0.91	        ( ( epsii @
0.61/0.91	            ( ^[V_1:( $i > $i )]:
0.61/0.91	              ( ( ( ( V_1 ) = ( X8 ) ) & ( ~( X4 ) ) ) | 
0.61/0.91	                ( ( ( V_1 ) = ( X6 ) ) & ( X4 ) ) ) ) ) =
0.61/0.91	          ( X6 ) ) ) )),
0.61/0.91	  inference('cnf.neg', [status(esa)], [zf_stmt_0])).
0.61/0.91	thf(zip_derived_cl1, plain,
0.61/0.91	    (~ (((!!) @ (^[Y0 : $o]:
0.61/0.91	                   (((!!) @ (^[Y1 : $i > $i]:
0.61/0.91	                               (((!!) @ (^[Y2 : $i > $i]:
0.61/0.91	                                           (((((epsii @ 
0.61/0.91	                                               (^[Y3 : $i > $i]:
0.61/0.91	                                                  (((((((Y3) = (Y2))) &
0.61/0.91	                                                      (((~) @ Y0)))) |
0.61/0.91	                                                    (((((Y3) = (Y1))) & (Y0))))))) =
0.61/0.91	                                               (Y2))) |
0.61/0.91	                                             (((epsii @ 
0.61/0.91	                                               (^[Y3 : $i > $i]:
0.61/0.91	                                                  (((((((Y3) = (Y2))) &
0.61/0.91	                                                      (((~) @ Y0)))) |
0.61/0.91	                                                    (((((Y3) = (Y1))) & (Y0))))))) =
0.61/0.91	                                               (Y1))))))))))))))),
0.61/0.91	    inference('cnf', [status(esa)], [zf_stmt_1])).
0.61/0.91	thf(zip_derived_cl5, plain,
0.61/0.91	    (~ (((!!) @ (^[Y0 : $i > $i]:
0.61/0.91	                   (((!!) @ (^[Y1 : $i > $i]:
0.61/0.91	                               (((((epsii @ 
0.61/0.91	                                   (^[Y2 : $i > $i]:
0.61/0.91	                                      (((((((Y2) = (Y1))) & (((~) @ '#sk7')))) |
0.61/0.91	                                        (((((Y2) = (Y0))) & ('#sk7'))))))) =
0.61/0.91	                                   (Y1))) |
0.61/0.91	                                 (((epsii @ 
0.61/0.91	                                   (^[Y2 : $i > $i]:
0.61/0.91	                                      (((((((Y2) = (Y1))) & (((~) @ '#sk7')))) |
0.61/0.91	                                        (((((Y2) = (Y0))) & ('#sk7'))))))) =
0.61/0.91	                                   (Y0)))))))))))),
0.61/0.91	    inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl1])).
0.61/0.91	thf(zip_derived_cl6, plain,
0.61/0.91	    (~ (((!!) @ (^[Y0 : $i > $i]:
0.61/0.91	                   (((((epsii @ 
0.61/0.91	                       (^[Y1 : $i > $i]:
0.61/0.91	                          (((((((Y1) = (Y0))) & (((~) @ '#sk7')))) |
0.61/0.91	                            (((((Y1) = ('#sk8'))) & ('#sk7'))))))) =
0.61/0.91	                       (Y0))) |
0.61/0.91	                     (((epsii @ 
0.61/0.91	                       (^[Y1 : $i > $i]:
0.61/0.91	                          (((((((Y1) = (Y0))) & (((~) @ '#sk7')))) |
0.61/0.91	                            (((((Y1) = ('#sk8'))) & ('#sk7'))))))) =
0.61/0.91	                       ('#sk8'))))))))),
0.61/0.91	    inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl5])).
0.61/0.91	thf(zip_derived_cl7, plain,
0.61/0.91	    (~ (((((epsii @ 
0.61/0.91	           (^[Y0 : $i > $i]:
0.61/0.91	              (((((((Y0) = ('#sk9'))) & (((~) @ '#sk7')))) |
0.61/0.91	                (((((Y0) = ('#sk8'))) & ('#sk7'))))))) =
0.61/0.91	           ('#sk9'))) |
0.61/0.91	         (((epsii @ 
0.61/0.91	           (^[Y0 : $i > $i]:
0.61/0.91	              (((((((Y0) = ('#sk9'))) & (((~) @ '#sk7')))) |
0.61/0.91	                (((((Y0) = ('#sk8'))) & ('#sk7'))))))) =
0.61/0.91	           ('#sk8')))))),
0.61/0.91	    inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl6])).
0.61/0.91	thf(zip_derived_cl8, plain,
0.61/0.91	    (~ (((epsii @ 
0.61/0.91	         (^[Y0 : $i > $i]:
0.61/0.91	            (((((((Y0) = ('#sk9'))) & (((~) @ '#sk7')))) |
0.61/0.91	              (((((Y0) = ('#sk8'))) & ('#sk7'))))))) =
0.61/0.91	         ('#sk9')))),
0.61/0.91	    inference('lazy_cnf_or', [status(thm)], [zip_derived_cl7])).
0.61/0.91	thf(zip_derived_cl10, plain,
0.61/0.91	    (((epsii @ 
0.61/0.91	       (^[Y0 : $i > $i]:
0.61/0.91	          (((((((Y0) = ('#sk9'))) & (((~) @ '#sk7')))) |
0.61/0.91	            (((((Y0) = ('#sk8'))) & ('#sk7')))))))
0.61/0.91	       != ('#sk9'))),
0.61/0.91	    inference('simplify nested equalities', [status(thm)], [zip_derived_cl8])).
0.61/0.91	thf(zip_derived_cl11, plain,
0.61/0.91	    (((epsii @ 
0.61/0.91	       (^[Y0 : $i > $i]:
0.61/0.91	          (((((((Y0) = ('#sk9'))) & (((~) @ '#sk7')))) |
0.61/0.91	            (((((Y0) = ('#sk8'))) & ('#sk7')))))) @ 
0.61/0.91	       '#_fresh_sk10') != ('#sk9' @ '#_fresh_sk10'))),
0.61/0.91	    inference('neg_ext_simpl', [status(thm)], [zip_derived_cl10])).
0.61/0.91	thf(zip_derived_cl50, plain,
0.61/0.91	    (((('#sk9' @ '#_fresh_sk10') != ('#sk9' @ '#_fresh_sk10')) |  ('#sk7'))),
0.61/0.91	    inference('sup-', [status(thm)], [zip_derived_cl44, zip_derived_cl11])).
0.61/0.91	thf(zip_derived_cl51, plain, ( ('#sk7')),
0.61/0.91	    inference('simplify', [status(thm)], [zip_derived_cl50])).
0.61/0.91	thf(zip_derived_cl52, plain,
0.61/0.91	    (![X2 : $i > $i, X4 : $i]:
0.61/0.91	       (((X2 @ ('#_fresh_sk25' @ X2)) != ('#sk8' @ ('#_fresh_sk25' @ X2)))
0.61/0.91	        | ((epsii @ 
0.61/0.91	            (^[Y0 : $i > $i]:
0.61/0.91	               (((((((Y0) = ('#sk9'))) & (((~) @ '#sk7')))) |
0.61/0.91	                 (((((Y0) = ('#sk8'))) & ('#sk7')))))) @ 
0.61/0.91	            X4) = ('#sk8' @ X4)))),
0.61/0.91	    inference('demod', [status(thm)], [zip_derived_cl32, zip_derived_cl51])).
0.61/0.91	thf(zip_derived_cl9, plain,
0.61/0.91	    (~ (((epsii @ 
0.61/0.91	         (^[Y0 : $i > $i]:
0.61/0.91	            (((((((Y0) = ('#sk9'))) & (((~) @ '#sk7')))) |
0.61/0.91	              (((((Y0) = ('#sk8'))) & ('#sk7'))))))) =
0.61/0.91	         ('#sk8')))),
0.61/0.91	    inference('lazy_cnf_or', [status(thm)], [zip_derived_cl7])).
0.61/0.91	thf(zip_derived_cl12, plain,
0.61/0.91	    (((epsii @ 
0.61/0.91	       (^[Y0 : $i > $i]:
0.61/0.91	          (((((((Y0) = ('#sk9'))) & (((~) @ '#sk7')))) |
0.61/0.91	            (((((Y0) = ('#sk8'))) & ('#sk7')))))))
0.61/0.91	       != ('#sk8'))),
0.61/0.91	    inference('simplify nested equalities', [status(thm)], [zip_derived_cl9])).
0.61/0.91	thf(zip_derived_cl13, plain,
0.61/0.91	    (((epsii @ 
0.61/0.91	       (^[Y0 : $i > $i]:
0.61/0.91	          (((((((Y0) = ('#sk9'))) & (((~) @ '#sk7')))) |
0.61/0.91	            (((((Y0) = ('#sk8'))) & ('#sk7')))))) @ 
0.61/0.91	       '#_fresh_sk11') != ('#sk8' @ '#_fresh_sk11'))),
0.61/0.91	    inference('neg_ext_simpl', [status(thm)], [zip_derived_cl12])).
0.61/0.91	thf(zip_derived_cl55, plain,
0.61/0.91	    (![X0 : $i > $i]:
0.61/0.91	       ((('#sk8' @ '#_fresh_sk11') != ('#sk8' @ '#_fresh_sk11'))
0.61/0.91	        | ((X0 @ ('#_fresh_sk25' @ X0)) != ('#sk8' @ ('#_fresh_sk25' @ X0))))),
0.61/0.91	    inference('sup-', [status(thm)], [zip_derived_cl52, zip_derived_cl13])).
0.61/0.91	thf(zip_derived_cl61, plain,
0.61/0.91	    (![X0 : $i > $i]:
0.61/0.91	       ((X0 @ ('#_fresh_sk25' @ X0)) != ('#sk8' @ ('#_fresh_sk25' @ X0)))),
0.61/0.91	    inference('simplify', [status(thm)], [zip_derived_cl55])).
0.61/0.91	thf(zip_derived_cl62, plain, ($false),
0.61/0.91	    inference('eq_res', [status(thm)], [zip_derived_cl61])).
0.61/0.91	
0.61/0.91	% SZS output end Refutation
0.61/0.91	
0.61/0.91	
0.61/0.91	% Terminating...
0.80/1.00	% Runner terminated.
0.80/1.01	% Zipperpin 1.5 exiting
0.80/1.01	EOF